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Notes on Univariate Sumcheck

2025/05/01 by Mohamed, Malcom
#Cryptography and Security (cs.CR) #FOS: Computer and information sciences

paper · doi:10.48550/arxiv.2505.00554

Abstract

This note describes a univariate polynomial interactive oracle proof for multilinear extension evaluation. Unlike prior protocols, (1) the verifier here is given a univariate extension oracle for the same vector of which the multilinear extension is getting evaluated and (2) the prover only has linear complexity. For these reasons, the protocol is well-suited for combining multivariate and univariate sumcheck techniques.

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